Conformal Riemannian morphisms between Riemannian manifolds
Differential Geometry
2023-05-12 v2
Abstract
In this article we introduce conformal Riemannian morphisms. The idea of conformal Riemannian morphism generalizes the notions of an isometric immersion, a Riemannian submersion, an isometry, a Riemannian map and a conformal Riemannian map. We show that every injective conformal Riemannian morphism is an injective conformal immersion, and that on a connected manifold, every surjective conformal Riemannian morphism is a surjective conformal submersion, and every bijective conformal Riemannian morphism is a conformal map.
Keywords
Cite
@article{arxiv.1804.06569,
title = {Conformal Riemannian morphisms between Riemannian manifolds},
author = {RB Yadav and Srikanth KV},
journal= {arXiv preprint arXiv:1804.06569},
year = {2023}
}